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Chapter 9: Q.46 (page 539)
Since both and are given, which should be used ? In one or two complete sentences, explain why.
We should use , because this is population standard deviation and therefore more accurate
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When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is 鈥渢he drug is unsafe.鈥� What is the Type II Error?
a. To conclude the drug is safe when in, fact, it is unsafe.
b. Not to conclude the drug is safe when, in fact, it is safe.
c. To conclude the drug is safe when, in fact, it is safe.
d. Not to conclude the drug is unsafe when, in fact, it is unsafe.
A recent survey in theN.Y. Times Almanac indicated that of families own stock. A broker wanted to determine if this survey could be valid. He surveyed a random sample of families and found thatowned some type of stock. At the significance level, can the survey be considered to be accurate?
La Leche League International reports that the mean age of weaning a child from breastfeeding is age four to five worldwide. In America, most nursing mothers wean their children much earlier. Suppose a random survey is conducted of 21 U.S. mothers who recently weaned their children. The mean weaning age was nine months (3/4 year) with a standard deviation of 4 months. Conduct a hypothesis test to determine if the mean weaning age in the U.S. is less than four years old.
A sociologist claims the probability that a person picked at random in Times Square in New York City is visiting the area isYou want to test to see if the claim is correct. State the null and that alternative hypothesis.
The National Institute of Mental Health published an article stating that in any one-year period, approximately percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.
a. Is this a test of one mean or proportion?
b. State the null and alternative hypotheses.
c. Is this a right-tailed, left-tailed, or two-tailed test?
d. What symbol represents the random variable for this test?
e. In words, define the random variable for this test.
f. Calculate the following:
i.
ii.role="math" localid="1649760873126"
iii.
g. Calculate role="math" localid="1649760901479" Show the formula set-up.
h. State the distribution to use for the hypothesis test.
i. Find the -value.
j. At a pre-conceived , what is your:
i. Decision:
ii. Reason for the decision:
iii. Conclusion (write out in a complete sentence):
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